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viktelen [127]
2 years ago
7

What is the slope of the line that passes through the points (8,4) and (20,-4)?

Mathematics
1 answer:
irga5000 [103]2 years ago
6 0

Answer:

for (8,4) is 2 and for (20,_4) is _5

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A car used 1/ 64 of a gallon of gas to drive 1 4of a mile. At this rate, how many miles can the car travel using 1 gallon of gas
Dovator [93]

Answer: 16 miles

Step-by-step explanation:

The car used 1/64 gallons to travel 1/4 miles. To find out how many miles the car can travel using 1 gallon, use direct proportion:

1/64 gallons            :              1/4 miles

1 gallon                   :                  x miles

Cross multiply:

1/64x = 1/4

x = 1/4 ÷ 1/64

= 1/4 * 64/1

= 16 miles

On one gallon of gas, the car can travel 16 miles.

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3 years ago
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ss7ja [257]

Compute the derivative of \mathbf r(t) at t=0 - this will be the tangent vector - then normalize it by dividing it by its magnitude to get the unit tangent vector \mathbf T(t).

\mathbf r(t) = \langle \sin(t), 1+t, \cos(t) \rangle \implies \dfrac{d\mathbf r}{dt} = \langle \cos(t), 1, -\sin(t) \rangle \implies \dfrac{d\mathbf r}{dt}(0) = \langle 1, 1, 0 \rangle

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7 0
1 year ago
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